Multiscale Modeling of the Geomagnetic Field and Ionospheric Currents

  • Christian Gerhards
Reference work entry

Abstract

This chapter reports on the recent application of multiscale techniques to the modeling of geomagnetic problems. Two approaches are presented: a spherical harmonics-oriented one, using frequency packages, and a spatially oriented one, using regularizations of the single layer kernel and Green’s function with respect to the Beltrami operator. As an example both approaches are applied to the separation of the magnetic field with respect to interior and exterior sources and the reconstruction of radial ionospheric currents.

Keywords

Spherical Harmonic Beltrami Operator Spherical Harmonic Degree Radial Current Wavelet Kernel 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Christian Gerhards
    • 1
  1. 1.Geomathematics Group, Department of MathematicsUniversity of KaiserslauternKaiserslauternGermany

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